387824 has 10 divisors (see below), whose sum is σ = 751440. Its totient is φ = 193904.

The previous prime is 387799. The next prime is 387839. The reversal of 387824 is 428783.

It is a d-powerful number, because it can be written as 3¹⁰ + 8² + 8⁶ + 7 + 2¹⁶ + 4⁵ .

It is a congruent number.

It is an unprimeable number.

387824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12104 + ... + 12135.

It is an arithmetic number, because the mean of its divisors is an integer number (75144).

2³⁸⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

387824 is a deficient number, since it is larger than the sum of its proper divisors (363616).

387824 is a wasteful number, since it uses less digits than its factorization.

387824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24247 (or 24241 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 387824 is about 622.7551685855. The cubic root of 387824 is about 72.9253004561.

The spelling of 387824 in words is "three hundred eighty-seven thousand, eight hundred twenty-four".